Salma's penny bank is 1/2 full. After she adds 360 pennies, it is 4/5 full. How many pennies can Salma's bank hold?

1/2 = 5/10

4/5 = 8/10

8/10 - 5/10 = 3/10

3/10x = 360

x = 360 / (3/10)

x = 360 * 10/3

x = 1200

( 1 / 2 ) x + 360 = ( 4 / 5 ) x

360 = ( 4 / 5 ) x - ( 1 / 2 ) x

360 = ( 8 / 10 ) x - ( 5 / 10 ) x

360 = ( 3 / 10 ) x

( 3 / 10 ) x = 360 Multiply both sides by 10

3 x = 360 * 10

3 x = 3600 Divide both sides by 3

x = 3600 / 3

x = 1200 pennies

Let's assume the total number of pennies Salma's bank can hold is x.

According to the given information, the bank is initially 1/2 full, which means it contains (1/2) * x pennies.

When she adds 360 pennies, the bank becomes 4/5 full, which means it contains (4/5) * x pennies.

Now we can set up an equation based on the above information:

(1/2) * x + 360 = (4/5) * x

To solve this equation, we multiply both sides by 10 to eliminate the denominators:

5*x + 3600 = 8*x

Rearranging the equation, we get:

8*x - 5*x = 3600

Combining like terms:

3*x = 3600

Dividing both sides by 3:

x = 1200

Therefore, Salma's bank can hold 1200 pennies.

To solve this problem, we can set up an equation and solve for the unknown.

Let's say the total number of pennies the bank can hold is x.

According to the problem, Salma's bank is initially 1/2 full, which means it has (1/2)x pennies.

After she adds 360 pennies, the bank becomes 4/5 full, which means it has (4/5)x pennies.

We can set up the equation:
(1/2)x + 360 = (4/5)x

To solve this equation, we can start by getting rid of the fractions:

Multiply both sides of the equation by 10 to eliminate the denominators:
10 * [(1/2)x + 360] = 10 * [(4/5)x]
5x + 3600 = 8x

Next, we can move all the terms involving x to one side of the equation:

Subtract 5x from both sides:
5x - 5x + 3600 = 8x - 5x
3600 = 3x

Finally, we can solve for x by dividing both sides of the equation by 3:
3600/3 = 3x/3
1200 = x

Therefore, Salma's bank can hold 1200 pennies.